Max Impact of Free-Falling Bomb on Target

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AI Thread Summary
The discussion revolves around calculating the maximum impact of a free-falling bomb and the time it takes for the sound of the explosion to reach the target. The key equations involved are those for free fall and sound propagation, specifically s=1/2gt^2 for the bomb's fall and s=ct for the sound travel. The user proposes to equate the distances traveled by the bomb and the sound to determine the time of impact. The conclusion emphasizes that the sound must reach the target just before the bomb does, ensuring the target hears the explosion. The approach and reasoning presented are deemed correct.
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Homework Statement


I have got a nice problem about free fall.
Consider a free-falling bomb vertically down at the target. The movement starts from rest. Bomb is giving sound - speed c= 340 m/s (from friction of air). What is the maximum impact of the bombs to her target (people) to hear sound alive ?


Homework Equations


I think I will use the equation of free fall and then the general equation for speed and acceleration.
s=1/2gt^2 (free fall)
s=ct (uniform motion sound)
v=gt (current speed uniformly accelerated motion)

The Attempt at a Solution


I think the basic premise is sound and that the bomb travels the same path:

1/2gt^2 = ct (calculate t)

Then t multiply the acceleration of gravity:

v= gt (and it is maximum velocity impact)

Of course it is, that the sound must be at the target faster (just) before the bomb.

It is right? Thanks very much (and sorry for my English).
 
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